Derivatives Quick Quiz

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Test your basic derivative knowledge

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Natasha Paola Rodriguez Cabrera

Mexico

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Derivatives Quick Quiz


Derivatives Quick QuizVersion en ligne Test your basic derivative knowledge par Natasha Paola Rodriguez Cabrera 1 What is the derivative of f(x) = 7(2x-11)? a F'(x)=2x-11 b F'(x)=14 c F'(x)=7 d F'(x)=49 2 Which function has derivative F'(x) = 0? a f(x) = 7(2x-11) b f(x) = 8x c f(x) = 10 d f(x) = x^6 3 What is the derivative of f(x) = 8x? a F'(x)=16 b F'(x)=4 c F'(x)=0 d F'(x)=8 4 If f(x) = x^6, what is f'(x)? a F'(x)=6x^6 b F'(x)=6x^5 c F'(x)=x^6-1 d F'(x)=x^5 5 Which option represents a correct derivative pairing: y = sin(8x)? a y' = cos(8x) b y' = 8sin(8x)cos(8x) c y' = 8cos(8x) d y' = -8sin(8x) 6 What is the derivative of f(x) = 7x^2 - 5x? a F'(x) = 28x - 5 b F'(x) = 7x c F'(x) = 14x - 5 d F'(x) = 14x + 5 7 Which derivative corresponds to f(x) = e^x? a F'(x) = x e^x b F'(x) = e^x c F'(x) = e d F'(x) = xe^x 8 What is f'(x) for f(x) = cos(8x)? a F'(x) = -sin(8x) b F'(x) = 8sin(8x) c F'(x) = cos(8x) d F'(x) = -8sin(8x) 9 Which is the derivative of f(x) = ln(3x+7)? a F'(x) = 1/x b F'(x) = 3/(3x+7) c F'(x) = (3x+7)/3 d F'(x) = x/(3x+7) 10 Identify the derivative of f(x) = sec(8x). a F'(x) = 8sec^2(8x) b F'(x) = 8sec(8x) c F'(x) = 8sec(8x)tan(8x) d F'(x) = tan(8x) Feedback 1 Differentiate term by term: 7(2)=14. 2 Constant functions have zero slope. 3 Power rule on x^1 gives 1x^0 = 1, times coefficient 8. 4 Power rule: nx^(n-1). 5 Derivative of sin(kx) is k cos(kx). 6 Differentiate term by term: 7x^2 -> 14x; -5x -> -5. 7 Derivative of e^x is e^x. 8 Chain rule: derivative of cos(kx) is -k sin(kx). 9 d/dx ln(u) = u'/u; here u=3x+7, u'=3. 10 Derivative of sec(u) is sec(u)tan(u)u' with u=8x.

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Derivatives Quick Quiz

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À propos de cette activité

Créé par

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Derivatives Quick QuizVersion en ligne

par Natasha Paola Rodriguez Cabrera

What is the derivative of f(x) = 7(2x-11)?

Which function has derivative F'(x) = 0?

What is the derivative of f(x) = 8x?

If f(x) = x^6, what is f'(x)?

Which option represents a correct derivative pairing: y = sin(8x)?

What is the derivative of f(x) = 7x^2 - 5x?

Which derivative corresponds to f(x) = e^x?

What is f'(x) for f(x) = cos(8x)?

Which is the derivative of f(x) = ln(3x+7)?

Identify the derivative of f(x) = sec(8x).

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